Elastic Collisions Quiz with Answers: Test Your Knowledge

📚 Quick Study Guide

• 🔍 In an elastic collision, both momentum and kinetic energy are conserved.
• 💡 Momentum is given by the formula: $p = mv$, where $m$ is mass and $v$ is velocity.
• 📝 Kinetic energy is given by the formula: $KE = \frac{1}{2}mv^2$.
• 🍎 Conservation of momentum: $m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}$, where $i$ denotes initial and $f$ denotes final velocities.
• ⚽ Conservation of kinetic energy: $\frac{1}{2}m_1v_{1i}^2 + \frac{1}{2}m_2v_{2i}^2 = \frac{1}{2}m_1v_{1f}^2 + \frac{1}{2}m_2v_{2f}^2$.
• 🎯 A perfectly elastic collision is an idealization; in reality, some energy is always lost (e.g., as heat or sound).
• 📐 In one-dimensional elastic collisions, the relative velocity of approach equals the relative velocity of separation.

🧪 Practice Quiz

1. Question 1: What is conserved in an elastic collision?
   1. A. Only momentum
   2. B. Only kinetic energy
   3. C. Both momentum and kinetic energy
   4. D. Neither momentum nor kinetic energy
2. Question 2: Two objects with equal mass undergo an elastic collision. If object 1 is initially moving and object 2 is at rest, what happens after the collision?
   1. A. Object 1 stops, and object 2 moves with the initial velocity of object 1.
   2. B. Object 2 stops, and object 1 moves with the initial velocity of object 2.
   3. C. Both objects move with half the initial velocity of object 1.
   4. D. Both objects move with the initial velocity of object 1.
3. Question 3: A ball with a mass of 0.5 kg collides elastically with a wall. If the ball's initial velocity is 10 m/s, what is its final velocity after the collision?
   1. A. 10 m/s
   2. B. -10 m/s
   3. C. 0 m/s
   4. D. 5 m/s
4. Question 4: Which of the following is an example of a nearly elastic collision?
   1. A. A car crash
   2. B. A bouncy ball hitting the floor
   3. C. A lump of clay hitting the floor
   4. D. A bullet hitting a wooden block
5. Question 5: What formula represents the conservation of momentum in a collision between two objects?
   1. A. $KE = \frac{1}{2}mv^2$
   2. B. $p = mv$
   3. C. $m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}$
   4. D. $F = ma$
6. Question 6: In an elastic collision, if the kinetic energy is conserved, what does this imply about the total energy of the system?
   1. A. The total energy increases.
   2. B. The total energy decreases.
   3. C. The total energy remains constant.
   4. D. The total energy is zero.
7. Question 7: What is the coefficient of restitution in a perfectly elastic collision?
   1. A. 0
   2. B. 0.5
   3. C. 1
   4. D. -1